On the physics behind the form factor ratio $μ_p G_E^p (Q^2) / G_M^p (Q^2)$

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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12 pages, 5 figures. version to appear in J. Phys. G.: Nucl. Part. Phys

Scientific paper

10.1088/0954-3899/35/12/125003

We point out that there exist two natural definitions of the nucleon magnetization densities : the density $\rho_M^K (r)$ introduced in Kelly's phenomenological analysis and theoretically more standard one $\rho_M (r)$. We can derive an explicit analytical relation between them, although Kelly's density is more useful to disentangle the physical origin of the different $Q^2$ dependence of the Sachs electric and magnetic form factors of the nucleon. We evaluate both of $\rho_M (r)$ and $\rho_M^K (r)$ as well as the charge density $\rho_{ch}(r)$ of the proton within the framework of the chiral quark soliton model, to find a noticeable qualitative difference between $\rho_{ch}(r)$ and $\rho_M^K (r)$, which is just consistent with Kelly's result obtained from the empirical information on the Sachs electric and magnetic form factors of the proton.

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